Home / 8,206.98-12,310.38-3,822

Finding the Fourth Proportional to 8,206.98, 12,310.38 and 3,822

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Solution

The fourth proportional to 8,206.98, 12,310.38 and 3,822 is: 5,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.98 : 12,310.38 = 3,822 : x
  2. Step 2: Convert to fraction form
    8,206.98/12,310.38 = 3,822/x
  3. Step 3: Cross multiply
    8,206.98x = 12,310.38 × 3,822
  4. Step 4: Simplify right side
    8,206.98x = 47,050,272.36
  5. Step 5: Solve for x
    x = 47,050,272.36/8,206.98
  6. Step 6: Final answer
    x = 5,732.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.